225015040 has 72 divisors (see below), whose sum is σ = 541578240. Its totient is φ = 89573376.

The previous prime is 225015029. The next prime is 225015059. The reversal of 225015040 is 40510522.

It is a junction number, because it is equal to n+sod(n) for n = 225014999 and 225015017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469521 + ... + 469999.

It is an arithmetic number, because the mean of its divisors is an integer number (7521920).

Almost surely, 2^225015040 is an apocalyptic number.

225015040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270789120).

225015040 is an abundant number, since it is smaller than the sum of its proper divisors (316563200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225015040 is an equidigital number, since it uses as much as digits as its factorization.

225015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 225015040 is about 15000.5013249558. The cubic root of 225015040 is about 608.2337513025.

Adding to 225015040 its reverse (40510522), we get a palindrome (265525562).

The spelling of 225015040 in words is "two hundred twenty-five million, fifteen thousand, forty".